Chemistry - GENERAL CHEMISTRY Question with Solution | TestHub

For a given azimuthal quantum number ($l$), the possible values of the magnetic quantum number ($m_l$) range from $-l$ to $+l$, including 0.

If $l=3$, then $m_l$ can take values $-3,-2,-1,0,+1,+2,+3$. This means there are $(2l+1)$ orbitals, which is $(2\times 3+1)=7$ orbitals. Each orbital can accommodate a maximum of 2 electrons (Pauli exclusion principle).

Therefore, the maximum number of electrons in this subshell is $7\times 2=14$ electrons.